8 1/6 as a Decimal

Answer

8 1/6 in decimals can be written as 8.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8 1/6 in decimal, we will convert the fractional part to a decimal and add it to the whole part. Here, 1/6 is the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, the whole number is 8, and the fraction is 1/6.

Step 2: Convert the fraction 1/6 to a decimal using the division method.

Step 3: As 1 is smaller than 6, we will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 4: Now that it is 10, we divide it by 6. The nearest multiple of 6 is 6 × 1 = 6. We write 1 in the quotient place and subtract 6 from 10, giving 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and divide by 6. The nearest multiple is 6 × 6 = 36. Write 6 in the quotient place and subtract 36 from 40, giving 4.

Step 6: Repeat the division process. This process is called a recurring decimal. The answer for 1/6 as a decimal is 0.1666...

Step 7: Add this decimal to the whole number 8.

Resulting in 8.1666...

• Mixed Number: A number consisting of an integer and a proper fraction.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Whole Number: A number without fractions; an integer.

• Dividend: A number that is being divided in a division operation.

• Divisor: A number by which another number is to be divided.